Theorems · Theorem · ring theory

AddMonoidAlgebra.mapAlgHom_single

∀ {R : Type u_1} {A : Type u_4} {B : Type u_5} {M : Type u_7} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Semiring B] [inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : AddMonoid M] (f : A →ₐ[R] B) (m : M)
  (a : A), (AddMonoidAlgebra.mapAlgHom M f) (AddMonoidAlgebra.single m a) = AddMonoidAlgebra.single m (f a)

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

9 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraAddMonoid